Hubble's Law, which states that recessional velocity is linearly proportional to distance, is valid in all cases of curved spacetime. This principle holds true even in non-static spacetimes, whether they are expanding or contracting. The discussion emphasizes that while Hubble's Law maintains a linear relationship, the distance-redshift relation is inherently non-linear and influenced by the curvature of space, specifically the spatial curvature-density parameter.
PREREQUISITESAstronomers, cosmologists, and physics students interested in the dynamics of the universe, particularly those studying the implications of Hubble's Law and spacetime curvature.
Any non-static spacetime (expanding or contracting) is always curved, so yes, the linear distance-recession rate relation (Hubble's law) always holds. The distance-redshift relation is non-linear and depends on the curvature of space (the spatial curvature-density parameter).Tahmeed said:Is the Hubble's law(recessional velocity linearly proportional to distance) valid for all cases even when the spacetime is curved? Is there a nonlinear model for Friedman models or it's always linearly proportional?